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AIIMS 2010
Exam
AIIMS
Year
2010
Subject
Chemistry
Chapter
States of Matter

AIIMS 2010 · Chemistry · States of Matter

Two flasks X and Y have capacity 1 ~L and 2 ~L respectively and...

Two flasks XX and YY have capacity 1 L1 \mathrm{~L} and 2 L2 \mathrm{~L} respectively and each of them contains 1 mole of a gas. The temperatures of the flasks are so adjusted that average speed of molecules in XX is twice as those in YY. The pressure in flask XX would be

Options

  1. Asame as that in YY
  2. Bhalf of that in YY
  3. Ctwice of that in YY
  4. D8 times of that in YY.

Correct answer

D. 8 times of that in YY.

Step-by-step solution

P=13mnu2VPXPY=nXuXVYnYuYVx=(N0/1000)(N0/2000)×P=\frac{1}{3} \frac{m n u^2}{V}\frac{P_X}{P_Y}=\frac{n_X u_X V_Y}{n_Y u_Y V_x}=\frac{\left(N_0 / 1000\right)}{\left(N_0 / 2000\right)} \times2 ×21=\times \frac{2}{1}=8
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